What 2 square numbers subtract to make 48?

What two square numbers subtract to make 48? In other words, when you subtract one square number from another square number, the answer is 48. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 48

We solved the equation above and found this to be true:

7² - 1² = 48

7² is 49 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 48?" is 49 and 1 as illustrated below:

49 - 1 = 48

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 48. Below we list alternate solutions if available.

64 - 16 = 48
169 - 121 = 48

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What 2 square numbers subtract to make 49?
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